It is stated in the problem that lines m and n are parallel and since the angles lie on the same transversal line, the two angles are supplementary. The sum of these two angles is equal to 180 degrees, which is represented in an equation as
[tex]x+14+9x-4=180[/tex]Solve for the value of x, we get
[tex]\begin{gathered} 10x+10=180 \\ 10x=180-10 \\ \frac{10x}{10}=\frac{170}{10} \\ x=17 \end{gathered}[/tex]Therefore, the value of x on the given diagram is 17 degrees.
